Prime p₀= 2321898249603883001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2321896366889172251	0 2 6 8 48 50 90 92 96 98	-1882714710750
STPT(10)	2321896679085636347	0 2 30 32 60 62 90 92 120 122	-1570518246654
SPT(16)	2321897297070506923	0 28 54 60 78 120 130 154 180 204 214 256 274 280 306 334	-952533376078
SPT(16)	2321897300886158053	0 16 60 70 114 126 144 160 210 226 244 256 300 310 354 370	-948717724948
SPT(16)	2321897329811782783	0 4 76 78 88 90 100 118 126 144 154 156 166 168 240 244	-919792100218
SPT(16)	2321897521738379743	0 36 90 156 160 166 174 226 228 280 288 294 298 364 418 454	-727865503258
SPT(16)	2321898765636043771	0 28 30 88 90 100 108 136 192 220 228 238 240 298 300 328	516032160770
STPT(10)	2321899024207235651	0 2 6 8 48 50 90 92 96 98	774603352650
SPT(16)	2321899212375125419	0 12 28 78 84 88 124 138 154 168 204 208 214 264 280 292	962771242418
STPT(10)	2321899259691536891	0 2 36 38 78 80 120 122 156 158	1010087653890
STPT(10)	2321899415664610097	0 2 84 86 162 164 240 242 324 326	1166060727096